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Finding the Fourth Proportional to 32,897.26, 49,349.03 and 9,204.82

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Solution

The fourth proportional to 32,897.26, 49,349.03 and 9,204.82 is: 13,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,897.26 : 49,349.03 = 9,204.82 : x
  2. Step 2: Convert to fraction form
    32,897.26/49,349.03 = 9,204.82/x
  3. Step 3: Cross multiply
    32,897.26x = 49,349.03 × 9,204.82
  4. Step 4: Simplify right side
    32,897.26x = 454,248,938.32
  5. Step 5: Solve for x
    x = 454,248,938.32/32,897.26
  6. Step 6: Final answer
    x = 13,808.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.